WebCalculus. Find the Derivative - d/dx y=3e^x. y = 3ex y = 3 e x. Since 3 3 is constant with respect to x x, the derivative of 3ex 3 e x with respect to x x is 3 d dx [ex] 3 d d x [ e x]. 3 … WebFeb 26, 2024 · There are two partial derivatives, one with respect to x and the other with respect to y. To compute the partial derivative with respect to x, you treat any term that …
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WebFind the derivative of y = sin (e 3x ). Answer Example 4 Find the derivative of y = e sin x. Answer Example 5 Find the derivative of \displaystyle {y}=\frac { { \ln { {2}} {x}}} { { {e}^ { { {2} {x}}}+ {2}}} y = e2x + 2ln2x … WebSep 7, 2024 · Find the first four derivatives of y = sinx. Solution Each step in the chain is straightforward: y = sinx dy dx = cosx d2y dx2 = − sinx d3y dx3 = − cosx d4y dx4 = sinx Analysis Once we recognize the pattern of derivatives, we can find any higher-order derivative by determining the step in the pattern to which it corresponds. try caviar philadelphia
How do you differentiate #f(x)=e^(3x)#? - Socratic.org
WebDec 2, 2014 · Find the derivative of y = x e 2 x + 3 e − x 2 calculus derivatives Share Cite Follow edited Dec 2, 2014 at 16:59 Aditya Hase 8,681 2 40 52 asked Dec 2, 2014 at 16:56 ryan 63 4 Add a comment 3 Answers Sorted by: 1 Solution: y = x e 2 x + 3 e − x 2 = ( x e 2 x + 3 e − x 2) 1 2 Derivative power rule: WebThe derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of … WebThe derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Learn how we define the derivative using limits. Learn about a bunch of very useful rules (like the power, product, and quotient … philips webshop nederland